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200040480 = 25325138917
BaseRepresentation
bin10111110110001…
…10000000100000
3111221102002221200
423323012000200
5402202243410
631503321200
74646213253
oct1373060040
9457362850
10200040480
11a2a10412
1256bb0200
133259c863
141c7d309a
15128663c0
hexbec6020

200040480 has 72 divisors (see below), whose sum is σ = 682643052. Its totient is φ = 53343744.

The previous prime is 200040473. The next prime is 200040509. The reversal of 200040480 is 84040002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 173290896 + 26749584 = 13164^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68019 + ... + 70898.

Almost surely, 2200040480 is an apocalyptic number.

200040480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200040480 is an abundant number, since it is smaller than the sum of its proper divisors (482602572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200040480 is a wasteful number, since it uses less digits than its factorization.

200040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138938 (or 138927 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 200040480 is about 14143.5667354455. The cubic root of 200040480 is about 584.8429997270.

Adding to 200040480 its reverse (84040002), we get a palindrome (284080482).

The spelling of 200040480 in words is "two hundred million, forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 138917 277834 416751 555668 694585 833502 1111336 1250253 1389170 1667004 2083755 2222672 2500506 2778340 3334008 4167510 4445344 5001012 5556680 6251265 6668016 8335020 10002024 11113360 12502530 13336032 16670040 20004048 22226720 25005060 33340080 40008096 50010120 66680160 100020240 200040480